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Finding the Third Proportional to 65,001.75 and 141,967.50

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Solution

The third proportional to 65,001.75 and 141,967.50 is: 310,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.75 : 141,967.50 = 141,967.50 : x
  2. Step 2: Convert to fraction form
    65,001.75/141,967.50 = 141,967.50/x
  3. Step 3: Cross multiply
    65,001.75x = 141,967.50 × 141,967.50
  4. Step 4: Simplify right side
    65,001.75x = 20,154,771,056.25
  5. Step 5: Solve for x
    x = 20,154,771,056.25/65,001.75
  6. Step 6: Final answer
    x = 310,065.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.